Results 11 to 20 of about 929 (40)
A note on the Grothendieck ring of the symmetric group [PDF]
Let $p$ be a prime number and let $n$ be a non-zero natural number. We compute the descending Loewy series of the algebra $R\_n/pR\_n$, where $R\_n$ denotes the ring of virtual ordinary characters of the symmetric group $S\_n$.Comment: 5 ...
Bonnafé, Cédric
core +5 more sources
Jucys-Murphy elements and Weingarten matrices [PDF]
We provide a compact proof of the recent formula of Collins and Matsumoto for the Weingarten matrix of the orthogonal group using Jucys-Murphy elements.Comment: v2: added a ...
Zinn-Justin, P.
core +1 more source
DUAL EQUIVALENCE GRAPHS I: A NEW PARADIGM FOR SCHUR POSITIVITY
We make a systematic study of a new combinatorial construction called a dual equivalence graph. We axiomatize these graphs and prove that their generating functions are symmetric and Schur positive.
SAMI H. ASSAF
doaj +1 more source
The flush statistic on semistandard Young tableaux [PDF]
In this note, a statistic on Young tableaux is defined which encodes data needed for the Casselman-Shalika formula.Comment: 6 ...
Salisbury, Ben
core +4 more sources
THE POLYTABLOID BASIS EXPANDS POSITIVELY INTO THE WEB BASIS
We show that the transition matrix from the polytabloid basis to the web basis of the irreducible $\mathfrak{S}_{2n}$-representation of shape $(n,n)$ has nonnegative integer entries. This proves a conjecture of Russell and Tymoczko [Int. Math. Res. Not.,
BRENDON RHOADES
doaj +1 more source
A modular branching rule for the generalized symmetric groups [PDF]
We give a modular branching rule for certain wreath products as a generalization of Kleshchev's modular branching rule for the symmetric groups. Our result contains a modular branching rule for the complex reflection groups $G(m,1,n)$ (which are often ...
Tsuchioka, Shunsuke
core +2 more sources
Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo+6 more
wiley +1 more source
On the sign-imbalance of skew partition shapes [PDF]
Let the sign of a skew standard Young tableau be the sign of the permutation you get by reading it row by row from left to right, like a book. We examine how the sign property is transferred by the skew Robinson-Schensted correspondence invented by Sagan
Sjostrand, Jonas
core +2 more sources
Sklyanin Determinant for Reflection Algebra [PDF]
Reflection algebras is a class of algebras associated with integrable models with boundaries. The coefficients of Sklyanin determinant generate the center of the reflection algebra. We give a combinatorial description of Sklyanin determinant suitable for
Rozhkovskaya, Natasha
core +3 more sources
Delta and Theta Operator Expansions
We give an elementary symmetric function expansion for the expressions $M\Delta _{m_\gamma e_1}\Pi e_\lambda ^{\ast }$ and $M\Delta _{m_\gamma e_1}\Pi s_\lambda ^{\ast }$ when $t=1$ in terms of what we call $\gamma $ -parking ...
Alessandro Iraci, Marino Romero
doaj +1 more source